Abstract
We analyze measurements of the magnetizationMagnetization, differential susceptibility, andSusceptibility specific heat on one-dimensional Heisenberg antiferromagnet $$\mathrm{Cu(C_4H_4N_2)(NO_3)_2}$$ (CuPzN) subjected to strong magnetic fields. Using the mapping between magnons (bosons) in CuPzN and fermions, we demonstrate that magnetic field tunes the insulatorInsulator toward quantum critical pointQuantum critical point related to the topological fermion-condensation quantum phase transition (FCQPT)Fermion Condensation Quantum Phase Transition (FCQPT) at which the resulting fermion effective mass diverges kinematically. We show that the FCQPTFermion Condensation Quantum Phase Transition (FCQPT) concept permits to reveal the scaling behaviorScaling behavior of thermodynamic characteristics, describe the experimental results quantitatively, and derive the $$T-H$$ (temperature—magnetic field) phase diagramPhase diagram, that contains Landau Fermi liquid, crossover and non-Fermi liquid parts, thus resembling that of heavy-fermion compounds. Thus, the analyzed behavior of CuPzN allows us to conclude that 1D quantum spin liquidsQuantum spin liquid form theNew state of matter new state of matter.
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